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" ... be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 24
av Robert Simson - 1804
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...each other; then will the other two sides be equal, each to each, and the third angle of one triangle to the third, angle of the other. Let ABC, DEF be two triangles which have the angles B, C equal to the angles E, F, each to each, and the side UC equal to EF; then the other sides will...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...sides are opposite, and the base, or third side, of the one shall be equal to the base, or third side, of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. AB to DE, and Л С to D F. and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal to one side ; and first, let those sides be equal which are adjacent to the angles...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - 1833 - 352 sider
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also the third angle of the one, to the third angle of the other. But to prove that such equality exists, a process of reasoning must be gone through. To make out that...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 sider
...which has its third side the greater, shall be greater than the angle between the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF respectively, viz. AB to DE, and AC to DF ; but the third...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...each, then shall the other sides be equal, each to each, and also the third angle of the one, to Ike third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one side equal...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC,DEFbe two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC to DEF,...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...side, the triangles shall be equivalent. Let ABC, DEF be two triangles which have the angles ABC, BC A, equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD ; also let BC be equal to EF, the triangles shall be equivalent. Because the three angles in each of...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to...
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